2024/07/08 by Crnković, Dean, Ishizuka, Keita, Kharaghani, Hadi +2
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2407.05695
Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studied. In this paper, we provide a method of constructing self-orthogonal and LCD subspace codes from a set of matrices under certain conditions. In particular, we give constructions of self-orthogonal and LCD subspace codes from mutually quasi-unbiased weighing matrices, linked systems of symmetric designs, and linked systems of symmetric group divisible designs, Deza graphs and their equitable partitions.